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mathematics
mathematics
UK Year 12 Mathematics (AS)
Y12
Quadratics
Completing the square method (0)
Quadratic formula (0)
Discriminants and number of roots (0)
Maximum and minimum values of a quadratic function (0)
Quadratic inequalities (0)
Simultaneous equations (one linear and one quadratic) (0)
Functions
Concepts of functions (0)
Composite functions (0)
Inverse functions (0)
Graph of a function and its inverse (0)
Transformations of functions (0)
Coordinate geometry
Length of a line segment and midpoint (0)
Parallel and perpendicular lines (0)
Equations of straight lines (0)
Equation of a circle (0)
Intersections of lines and circles (0)
Circular measure
Radians and degrees (0)
Length of an arc (0)
Area of a sector (0)
Trigonometry
Special angles (0)
Graphs of the sine, cosine and tangent functions (0)
Inverse trigonometric functions (0)
Trigonometric identities (0)
Trigonometric equations (0)
Series
Binomial expansion (0)
Arithmetic and geometric progressions (0)
Sum of terms of a progression (0)
Infinite geometric series (0)
Differentiation
Derivatives and gradient functions (0)
Chain rule (0)
Tangents and normals (0)
Second derivatives (0)
Increasing and decreasing functions (0)
Stationary points (0)
Rates of change (0)
Integration
Integration as the reverse of differentiation (0)
Finding the constant of integration (0)
Integration of binomial expansion (0)
Definite integration (0)
Area under a curve (0)
Area bounded by a curve and a line or by two curves (0)
Volumes of revolution (0)
Representation of data
Types of data (0)
Stem-and-leaf diagrams (0)
Box-and-whisker plots (0)
Histograms and cumulative frequency graphs (0)
Measures of central tendency and variation (0)
Permutations and combinations
Factorial function (0)
Permutations (0)
Combinations (0)
Probability
Experiments, events and outcomes (0)
Mutually exclusive events and the addition law (0)
Independent events and the multiplication law (0)
Conditional probability (0)
Discrete random variables
Probability distributions (0)
Expectation and variance of a discrete random variable (0)
Binomial distribution (0)
Geometric distribution (0)
The normal distribution
Continuous random variables (0)
The normal distribution (0)
Modelling with the normal distribution (0)
The normal approximation to the binomial distribution (0)
One-step Linear Inequalities (1)
Compound Linear Inequalities (3)
Relationship Between Two Variables (1)
Absolute Value Functions (1)
Linear Functions in Standard Form (1)
Parallel and Perpendicular Lines Linear Functions (1)
Solving Simultaneous Equations by Elimination (7)
Solving Simultaneous Equations by Substitution (2)
Word Problems on Simultaneous Equations (8)
Introduction to Polynomials (46)
Multiplying and Dividing Polynomials (1)
Adding and Subtracting Polynomials (7)
Polynomial Equations (113)
Polynomial Graphs (1)
Evaluation of Polynomial Function (10)
Polynomial Inequalities (1)
Binomial Theorem (20)
Introduction to Complex Numbers (100)
Adding and Subtracting Complex Numbers (1)
Complex Number Conjugates (16)
Multiplying and Dividing Complex Numbers (7)
The Absolute Value of a Complex Number (13)
Complex Numbers and Powers of i (1)
Simplification of Surds (16)
Adding and Subtracting Surds (2)
Multiplying and Dividing Surds (2)
Entire Radicals and Mixed Radicals (9)
Radical Equations (26)
Powers or Indices (66)
Multiplying Indices (2)
Power to a Power (1)
Fractional Indices (6)
Introduction to Functions (23)
Evaluate a Function (2)
Domain and Range of a Function (14)
Graph of a Function (40)
Function Notation (1)
Gradient of a Function (1)
Absolute Value Function (78)
Operations With Functions (51)
Introduction to Logarithmic Functions (127)
Logarithmic Equations (43)
Graph of Logarithmic Functions (7)
Domain and Range of Exponential and Logarithmic Functions (1)
Evaluating Exponential Functions (1)
Exponential Function for Growth over Different Time Intervals (1)
Logarithmic Equations (5)
Introduction to Parabola (20)
Direction of a Parabola (15)
Focus of a Parabola (3)
Finding Equations of a Parabola (5)
Graph of a Parabola (44)
Angles in a Circle (7)
Area and Sector Area of a Circle (27)
Inscribed Angles in a Circle (1)
Circles in the Coordinate Plane (42)
Trigonometric Ratios Sine, Cosine and Tangent (76)
Trigonometric Graphs (69)
Angle Sum and Difference Identities (27)
Triangle Identities (24)
Problems on Trigonometric Identities (18)
Arithmetic Sequences (17)
Arithmetic Series (31)
Recursive Sequences (1)
Nth Term (2)
Geometric Sequences (8)
Geometric Series (32)
Infinite Geometric Series (61)
Sigma Notation (16)
Convergent and Divergent Geometric Series (34)
Annuity (5)
Probability of Events (9)
Addition and Product Rule (1)
Permutations and Combinations (36)
Factorial Notation (1)
Permutations (42)
Combinations (28)
Binomial Theorem (1)
Quartiles (9)
Data and Graphs (17)
Bar Charts (1)
Box and Whisker Plots (8)
Evaluating Limits from a Graph (1)
Finding Limits by Direct Substitution (23)
Limits at Infinity and Vertical Asymptotes (27)
Introduction to Derivatives (18)
Rate of Change (59)
Instantaneous Rates of Change (2)
Finding the Equation of a Tangent Line with Derivatives (96)
The Chain Rule For Derivatives (23)
The Product Rule For Derivatives (10)
The Quotient Rule For Derivatives (14)
Derivatives of Exponential Functions (2)
Higher Order Derivatives (1)
Critical Points (19)
Derivatives of Inverse Trigonometric Functions (5)
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